Programme

P.37 -- Poster, VCTP-44

Date: Tuesday, 30 July 2019

Time: 08:30 - 10:00

A comparative study of the localization properties of eigenstates in conservative and non-conservative systems: Effects of long-range correlation disorder

Thi Kim Thoa Lieu (1) and Ba Phi Nguyen (2,*)

(1) Department of Physics, Quy Nhon University, Quy Nhon 820000, Vietnam (2) Department of Basic Sciences, Mientrung University of Civil Engineering, Tuy Hoa 620000, Vietnam (*) Email: nguyenbaphi@muce.edu.vn

We study numerically the effects of long-range correlations in the disorder distribution on the localization properties of the eigenstates in a one-dimensional disordered lattice characterized by a random non-Hermitian Hamiltonian, where the imaginary part of the on-site potential is random. We calculate participation number versus strengths of disorder and correlation. Unlike in the case of a long-range correlated real random potential, no signature of the localization transition is found in a long-range correlated imaginary random potential. In the region where localization is enhanced in the presence of long-range correlations, we find that the enhancement occurs in the whole energy band, but is strongest near the band center. In addition, we find that the anomalous localization enhancement effect occurs near the band center. Keywords: Anderson localization, long-range correlation, participation number, non-Hermitian Hamiltonian. Reference: [1]. P. W. Anderson, Phys. Rev. 109, 1492 (1958). [2]. P. G. Silvestrov, Phys. Rev. B 64, 075114 (2001). [3]. A. Basiri, Y. Bromberg, A. Yamilov, H. Cao, and T. Kottos, Phys. Rev. A 90, 043815 (2014). [4]. B. P. Nguyen, D. K. Phung, and K. Kim, unpublished.

Presenter: Lieu Thi Kim Thoa